A short note on $π_1\mathrm{Diff}_{\partial} (D^{4k})$ for $k\geq 3$
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911835182071808 |
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| author | Wang, Wei |
| author_facet | Wang, Wei |
| contents | Let $\mathrm{Diff}_{\partial}(D^{n})$ be the topological group of diffeomorphisms of $D^{n}$ which agree with the identity near the boundary. In this short note, we compute the fundamental groups $π_1 \mathrm{Diff}_{\partial}(D^{4k})$ for $k\geq 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03417 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A short note on $π_1\mathrm{Diff}_{\partial} (D^{4k})$ for $k\geq 3$ Wang, Wei Algebraic Topology Geometric Topology Let $\mathrm{Diff}_{\partial}(D^{n})$ be the topological group of diffeomorphisms of $D^{n}$ which agree with the identity near the boundary. In this short note, we compute the fundamental groups $π_1 \mathrm{Diff}_{\partial}(D^{4k})$ for $k\geq 3$. |
| title | A short note on $π_1\mathrm{Diff}_{\partial} (D^{4k})$ for $k\geq 3$ |
| topic | Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/2307.03417 |